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Finding the Third Proportional to 644,112 and 929,016

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Solution

The third proportional to 644,112 and 929,016 is: 1,339,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,112 : 929,016 = 929,016 : x
  2. Step 2: Convert to fraction form
    644,112/929,016 = 929,016/x
  3. Step 3: Cross multiply
    644,112x = 929,016 × 929,016
  4. Step 4: Simplify right side
    644,112x = 863,070,728,256
  5. Step 5: Solve for x
    x = 863,070,728,256/644,112
  6. Step 6: Final answer
    x = 1,339,938.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.